Post #2299480

2024-05-03 12:34 UTC

@astrid@fedi.astrid.tech @lily@glaceon.social @andrewt@mathstodon.xyz What I particularly like is /why/ people get all golden ratio on music (*): An octave has: Five black notes. Eight white notes. Thirteen notes. 5, 8, 13, Fibonacci, Φ! Unfortunately, the 8 and 13 double count the first/last note, and it's really about the twelfth root of two. So you've got a whole branch of musical numerology based on incorrect 1-based indexing! ((*) Sorry, Andrew, if this is what you were referring to, but I didn't see it explicitly mentioned.)

Replies (2)

@andrewt@mathstodon.xyz 2024-05-03 12:42

@sgf@mastodon.xyz @astrid@fedi.astrid.tech @lily@glaceon.social oh my god what, no, i've never heard of this nonsense? what the hell? like half of all the one-digit integers are Fibonnaci numbers 0 ✅ sort of 1 ✅✅ 2 ✅ 3 ✅ 4 ❌ 5 ✅ 6 ❌ 7 ❌ 8 ✅ 9 ❌ it's hardly a surprise that the 5 and the 8 hit, and the 13 is just those added together so that one's free and that's assuming you count from C. what if you're playing in C#? Then an octave has six black notes and seven white notes, those aren't Fibonacci numbers! there are three non-fibonacci numbers lower than 9 and you've hit two of them. why do all the maths cranks focus purely on ϕ and cantor's diagonalisation theroem

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@mattmcirvin@mathstodon.xyz 2024-05-04 14:49

@sgf@mastodon.xyz @astrid@fedi.astrid.tech @lily@glaceon.social @andrewt@mathstodon.xyz Oh, wow, I never heard of *that* angle! Yeah, there's all kinds of interesting mathematics in music but it's not that.

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